Sobolev spaces in the generalized distribution spaces of Beurling type
The authors define the concept of the generalized distribution spaces of Beurling type \(H^ s_ \omega\) as an extension of the classical Sobolev spaces. They study its basic properties -- completeness, density, duality -- and they formulate the Sobolev imbedding theorem and Rellich compactness theorem for these generalized Sobolev spaces.
generalized distribution spaces of Beurling type
scientific article; zbMATH DE number 61119